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Finding the Fourth Proportional to 11,412, 15,749.46 and 6,377.40

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Solution

The fourth proportional to 11,412, 15,749.46 and 6,377.40 is: 8,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 15,749.46 = 6,377.40 : x
  2. Step 2: Convert to fraction form
    11,412/15,749.46 = 6,377.40/x
  3. Step 3: Cross multiply
    11,412x = 15,749.46 × 6,377.40
  4. Step 4: Simplify right side
    11,412x = 100,440,606.20
  5. Step 5: Solve for x
    x = 100,440,606.20/11,412
  6. Step 6: Final answer
    x = 8,801.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.